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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 984 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  4. 4.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  7. 7.Two trains, 200 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 50 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 110 m and 205 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.Two trains, 160 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  20. 20.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  22. 22.Two trains, 140 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 100 m and 215 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 80 m and 195 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 160 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  30. 30.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  32. 32.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  40. 40.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 5
  2. 10
  3. 22
  4. 6
  5. 9
  6. 26
  7. 9
  8. 38
  9. 14
  10. 9
  11. 4
  12. 9
  13. 11
  14. 190
  15. 100
  16. 28
  17. 23
  18. 23
  19. 25
  20. 27
  21. 255
  22. 8
  23. 9
  24. 17
  25. 160
  26. 14
  27. 11
  28. 12
  29. 440
  30. 38
  31. 48
  32. 20
  33. 25
  34. 1
  35. 6
  36. 360
  37. 14
  38. 1
  39. 17
  40. 31

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